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Speakers: Eoin Quinn (UvA), Tom Price (Utrecht) and Alexander Chudnovskiy (Hamburg). Location: Eulerroom, CWI Building, Amsterdam

Date 2 March 2018 14:00 -18:00

This event is part of a regular series of meetings on Quantum and Topological Matter, sponsored by Delta ITP. The objective is to bring together the theoretical physics communities in Amsterdam, Leiden and Utrecht. We encourage researchers from different areas in theoretical physics to participate!

## Programme

### 14:30 - 15:15  Eoin Quinn (UvA)

The splitting of electrons and violation of the Luttinger sum rule

### 15:15 - 16:00 Tom Price (Utrecht)

Long time asymptotics for the nonlinear Luttinger liquid at nonzero temperature

### 16:30 - 17:15 Alexander Chudnovskiy (Hamburg)

Stable condensate of singlet pairs in spinor Bose gases

## Abstracts

### Eoin  Quinn

The splitting of electrons and violation of the Luttinger sum rule

We identify a novel controlled description of interacting electrons. We argue that there are two ways to characterise the electronic degree of freedom, either by the canonical fermion algebra or by the Lie superalgebra su(2|2). While the canonical formalism underlies the Fermi liquid description of interacting electrons, we demonstrate that the su(2|2) algebra governs a distinct regime which is non-Fermi liquid. We examine the electronic spectral function within a controlled approximation and find that the electronic band splits in two, it violates the Luttinger sum rule and exhibits a Mott metal-insulator transition.

### Tom Price

Long time asymptotics for the nonlinear Luttinger liquid at nonzero temperature

The long time asymptotic behaviour of quantum correlation functions in interacting one dimensional systems is a long standing question. I'll discuss some analytic results for long time asymptotics at finite temperature in Imambekov and Glazman's nonlinear Luttinger liquid theory''. Using a Fredholm determinant representation of the Green function, I'll show how the long time asymptotics are related to known asymptotics of the classically integrable nonlinear Schrodinger equations. This method allows us to find terms currently inaccessible to the mobile impurity phenomenology.

### Alexander Chudnovskiy

Stable condensate of singlet pairs in spinor Bose gases

Bose Einstein condensates of spin-1 atoms are known to exist in two different phases, both having spontaneously broken spin-rotation symmetry, a ferromagnetic and a polar condensate. We show that in two spatial dimensions it is possible to achieve microscopic conditions allowing spin-1 atoms to form a condensate in which the spin-rotation symmetry is preserved. By reducing the particle density such a symmetric phase can be continuously deformed into a Bose-Einstein condensate of singlet atomic pairs. We calculate the region of the parameter space where such a molecular phase is stable against collapse.

## Location

Amsterdam Science Park 123, CWI building, Eulerhall.